Search a number
-
+
76391507820 = 223511031154299
BaseRepresentation
bin100011100100101001…
…0011110011101101100
321022011212002200022110
41013021102132131230
52222422211222240
655032131044020
75343024050145
oct1071122363554
9238155080273
1076391507820
112a441018541
121297b440610
137285670544
1439a9818acc
151ec17d0c80
hex11c949e76c

76391507820 has 48 divisors (see below), whose sum is σ = 214090329600. Its totient is φ = 20352582336.

The previous prime is 76391507813. The next prime is 76391507849. The reversal of 76391507820 is 2870519367.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 76391507820.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 510970 + ... + 643329.

It is an arithmetic number, because the mean of its divisors is an integer number (4460215200).

Almost surely, 276391507820 is an apocalyptic number.

It is an amenable number.

76391507820 is an abundant number, since it is smaller than the sum of its proper divisors (137698821780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76391507820 is a wasteful number, since it uses less digits than its factorization.

76391507820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155414 (or 1155412 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The spelling of 76391507820 in words is "seventy-six billion, three hundred ninety-one million, five hundred seven thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1103 2206 3309 4412 5515 6618 11030 13236 16545 22060 33090 66180 1154299 2308598 3462897 4617196 5771495 6925794 11542990 13851588 17314485 23085980 34628970 69257940 1273191797 2546383594 3819575391 5092767188 6365958985 7639150782 12731917970 15278301564 19097876955 25463835940 38195753910 76391507820